which statement best describes a line in slope intercept form when the coefficient of the x term is negative
2 answers:
Answer:
The angle made by line with positive x axis is more than 90°
Step-by-step explanation:
A line is represented in slope intercept form as
y=mx+c
Where m is called the slope of the line and c is called the y intercept .
Here by slope we means the tangent of the angle , the line makes with the positive x axis .
Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative
or
tan = negative
> 90
that means our line makes an obtuse angle that is more than 90° with the positive x axis.
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When solving logarithmic/natural log equations, the strategy is to get ln (x) alone on one side, and all the stuff on the other side. Then exponentiate both sides to get to x.
2 ln (x + 3) = 0
ln (x + 3) = 0
At this point, we can't isolate anymore or use logarithm properties to separate this further. But we have ln (something), and we can exponentiate.
x+3 = 1 <--This come from the fact the ln (x) and are inverse functions that undo each other. This is why exponentiating works.
x = -2
So x = -2 is our solution.